Transactions of the Korean Society of Machine Tool Engineers (한국공작기계학회논문집)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
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An Improved Dynamic Model for Multi-Stepped Rotor System

다단 회전체 계의 동적 모델 개선에 관한 연구

  • Published : 2006.04.01
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Abstract

This paper presents an efficient dynamic modeling method for multi-stepped rotor system using effective spring elements to take into account the structural weakening effect due to the steps. This paper demonstrates that the Timoshenko shaft model give rise to a significant error in the case of multi-stepped rotors. An effective bending spring model is introduced to represent the structural weakening effect in the presence of steps. The proposed modeling method is validated through a series of simulations and experiments. Finally, a spindle is dealt with as an analysis example.

Keywords

References

  1. Timoshenko, S., Young, D. H. and Weaver, W. Jr, 1974, Vibration Problems in Engineering, 4th ed., John Wiley & Sons
  2. Rao, S. S. and Gupta, R. S., 2001, 'Finite Element Vibration Analysis of Rotating Timoshenko Beam,' Journal of Sound and Vibration, Vol. 242, No. 1, pp. 103-124 https://doi.org/10.1006/jsvi.2000.3362
  3. Nelson, H. D., 1980, 'A Finite Rotating Shaft Element using Timoshenko Beam Theory,' ASME, Journal of Mechanical Design, Vol. 102, pp. 793-803 https://doi.org/10.1115/1.3254824
  4. Wang, R. T. and Lin, T. Y., 1998, 'Vibration of Multispan Timoshenko Frames due to a Moving Load,' Journal of Sound and Vibration, Vol. 21, pp. 417-434
  5. Pilkey, W. D., 1994, Formulas for Stress, Strain, and Structural Matrices, John Wiley & Sons, Inc
  6. Hong, S. W., Lee, Y. D. and Kim, M. D. 2003, 'Error Analysis and Improvement of the Timoshenko Beam based Finite Element Model for Multi-stepped Beam Structures,' J. of KSPE, Vol. 20, No. 10, pp. 199-207
  7. Park, J. H. and Hong, S. W., 1999, 'A Generalized Modal Analysis for Multi-stepped, Distributed-Parameter Rotor-Bearing Systems,' Trans. KSNVE, Vol. 9, No. 3, pp. 525-534
  8. Hong, S. W. and Park, J H., 1999, 'Dynamic Analysis of Multi-stepped, Distributed Parameter Rotor-bearing Systems,' Journal of Sound and Vibration, Vol. 227, No. 4, pp. 769-785 https://doi.org/10.1006/jsvi.1999.2384
  9. Cho, J. W., Kim, S. I., Lee, G. S. and Kim, C. B., 2000, 'Development of a Static and Dynamic Characteristics Analysis System for Machine-Tool Spindle Systems with 3 Lobe Sliding Bearings,' J. of KSMTE, Vol. 9, No. 4, pp. 99-107
  10. SDS Co., 1996, I-DEAS Design User's Guide, SDS Co